Given independent random variables with means and standard deviations as shown,find the mean and standard deviation of the variable X + 6.Round to two decimal places if necessary. $$\begin{array} { l | l l }
& \text { Mean } & \text { SD } \
\hline \mathrm { X } & 30 & 9 \
\mathrm { Y } & 50 & 6
\end{array}$$
A)? = 36,? = 15
B)? = 30,? = 9
C)? = 36,? = 10.82
D)? = 36,? = 9
E)? = 30,? = 15

Question

Given independent random variables with means and standard deviations as shown,find the mean and standard deviation of the variable X + 6.Round to two decimal places if necessary. $$\begin{array} { l | l l } 
& \text { Mean } & \text { SD } \
\hline \mathrm { X } & 30 & 9 \
\mathrm { Y } & 50 & 6
\end{array}$$
A)? = 36,? = 15
B)? = 30,? = 9
C)? = 36,? = 10.82
D)? = 36,? = 9
E)? = 30,? = 15

Quizplus · Accepted Answer

The mean of $X + 6$ is $30 + 6 = 36$. The standard deviation remains unchanged at $9$ because adding a constant affects only the mean, not the standard deviation.

Given Independent Random Variables with Means and Standard Deviations as Shown,find